Solve 3+y/4=-y/8

$$\frac { 3 + y } { 4 } = \frac { - y } { 8 }$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 4,8.

$$2\left(3+y\right)=-y$$

Use the distributive property to multiply 2 by 3+y.

$$6+2y=-y$$

Add y to both sides.

$$6+2y+y=0$$

Combine 2y and y to get 3y.

$$6+3y=0$$

Subtract 6 from both sides. Anything subtracted from zero gives its negation.

$$3y=-6$$

Divide both sides by 3.

$$y=\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$y=-2$$